Today, President Obama will travel to Lower Manhattan to dedicate the National September 11 Memorial Museum at Ground Zero. And by all accounts, the museum has achieved its mission.

Those who have previewed the exhibits call it a profoundly moving experience that captures what New Yorkers experienced on 9/11 — the horrors as well as the courage — and in the harrowing weeks that followed.

Told primarily through photos, oral histories and thousands of artifacts, large and small, the museum has successfully walked the tightrope of its different responsibilities: memorializing the dead, honoring the survivors and honestly depicting what happened — and why.

The achievement is even more amazing given the blatant politicizing that plagued its development.

A key part of the original concept — an International Freedom Center guided by leftist academics and activists — envisioned using the events of 9/11 as “a springboard for contemporary dialogue and debate” to “universalize” the tragedy.

That idea was dropped after a public outcry, led largely by The Post. Other problems include the escalating costs, now north of $700 million. And some New Yorkers are understandably put off by the $24 admission fee.

But the underground museum succeeds where it ought, especially in bringing home the terrible toll in human life. Visitors will see relics of the Twin Towers, including the “survivors’ staircase” and the steel beams that formed an inspiring cross.

They’ll also see the everyday objects that, in too many cases, are all that is left of the many whose remains were never found or identified.

Most important, it doesn’t shrink from explaining who brought down the Twin Towers: radical Islamist terrorists. In so doing, the museum has answered the question we posed: Will visitors 100 years hence know what motivated the killers that terrible day?

Museum director Alice Greenwald put it this way to The Post: The display is “as much about 9/12 as it is about 9/11.” And that’s precisely how it should be.